Nonlocal impedance boundary conditions in modeling WPT coils for all frequencies

Article type: Research Article

Authors: Badics, Zsolt^a; | Bilicz, Sándor^b | Gyimóthy, Szabolcs^b | Pávó, József^b

Affiliations: [a] Tensor Research LLC, Andover, MA, USA | [b] Department of Broadband Infocommunication and Electromagnetic Theory, Budapest University of Technology and Economics, Budapest, Hungary

Correspondence: [*] Corresponding author: Zsolt Badics, Tensor Research LLC, Andover, MA, USA. E-mail: ZBadics@TensorResearch.com

Abstract: A nonlocal generalization of the IBC (impedance boundary condition) concept is introduced in this work for modeling the coil wires in resonant WPT (wireless power transfer) links. Such NLIBCs (nonlocal IBCs) can accurately account for the skin and proximity effects in the wires for all frequencies relevant to resonant WPT systems and can be utilized in both finite-element and surface-integral-equation numerical frameworks. The NLIBCs have run-time performance close to that of the IBC because the NLIBCs take advantage of the quasi-2D nature of the electromagnetic field inside the wires. The results for a typical WPT configuration illustrate the performance.

Keywords: Coil modeling, nonlocal impedance boundary condition, numerical modeling, wireless power transfer

DOI: 10.3233/JAE-171054

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 59, no. 1, pp. 9-18, 2019